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1120032122000 = 24531150910551
BaseRepresentation
bin10000010011000111000…
…111011110010010010000
310222001222222001000002012
4100103013013132102100
5121322311210401000
62214311411242052
7143630303645411
oct20230707362220
93861888030065
101120032122000
113a2003a2a820
121610a05a9328
138180701b9bc
143c2d1b51808
151e204464735
hex104c71de490

1120032122000 has 80 divisors (see below), whose sum is σ = 2954441153664. Its totient is φ = 407284400000.

The previous prime is 1120032121997. The next prime is 1120032122003. The reversal of 1120032122000 is 2212300211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1120032121997) and next prime (1120032122003).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1120032122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25433276 + ... + 25477275.

Almost surely, 21120032122000 is an apocalyptic number.

1120032122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120032122000 is an abundant number, since it is smaller than the sum of its proper divisors (1834409031664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120032122000 is a wasteful number, since it uses less digits than its factorization.

1120032122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50910585 (or 50910569 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1120032122000 its reverse (2212300211), we get a palindrome (1122244422211).

The spelling of 1120032122000 in words is "one trillion, one hundred twenty billion, thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 50910551 101821102 203642204 254552755 407284408 509105510 560016061 814568816 1018211020 1120032122 1272763775 2036422040 2240064244 2545527550 2800080305 4072844080 4480128488 5091055100 5600160610 6363818875 8960256976 10182110200 11200321220 12727637750 14000401525 20364220400 22400642440 25455275500 28000803050 44801284880 50910551000 56001606100 70002007625 101821102000 112003212200 140004015250 224006424400 280008030500 560016061000 1120032122000